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Finding the Fourth Proportional to 109,164, 163,746 and 43,546.08

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Solution

The fourth proportional to 109,164, 163,746 and 43,546.08 is: 65,319.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,164 : 163,746 = 43,546.08 : x
  2. Step 2: Convert to fraction form
    109,164/163,746 = 43,546.08/x
  3. Step 3: Cross multiply
    109,164x = 163,746 × 43,546.08
  4. Step 4: Simplify right side
    109,164x = 7,130,496,415.68
  5. Step 5: Solve for x
    x = 7,130,496,415.68/109,164
  6. Step 6: Final answer
    x = 65,319.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.